Certificate for #13211 ⟨a, b | abb=aba, bab=ab⟩

Back:⟨a, b | abb=aba, bab=ab⟩

Completion settings:

[1] abb=aba

Axiom: abb=aba.

Defines rule #1.

Referenced by [4].

[2] bab=ab

Axiom: bab=ab.

Defines rule #2.

Referenced by [3], [4].

[3] baab=aab

Overlap of [2] bab=ab with [2] bab=ab:

ba b bab

Critical pair: baab=abab.

Reduce RHS:

[2]a(bab)
⇒ aab

Defines rule #4.

Referenced by [4].

[4] aaab=aab

Overlap of [1] abb=aba with [2] bab=ab:

ab b bab

Critical pair: abab=abaab.

Reduce LHS:

[2]a(bab)
⇒ aab

Reduce RHS:

[3]a(baab)
⇒ aaab

Flip LHS and RHS.

Defines rule #3.